Bin-packing heuristic — deterministic best-fit-decreasing capacity planning for
Bin-packing heuristic — deterministic best-fit-decreasing capacity planning for placing items into bins, with feasibility evidence and an honest volume bound.
Answeringour last check, 2026-09-24
1 of 1checks answered this week
656 msmedian answer time
$0.005listed price per call
$0.005price it asked us
Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.
Endpoint
POST https://decision-solver.use.x402atlas.com/bin-pack
| Category | Everything else |
|---|---|
| Provider host | decision-solver.use.x402atlas.com |
| Networks | eip155:137, eip155:42161, eip155:8453 |
| Payment schemes | exact |
| Self-reported calls, 30 days | 2 from 1 payers (the provider's figure, not ours) |
Our checks, last 30 days
| Day | Result | HTTP | Asked | Time |
|---|---|---|---|---|
| 2026-09-24 | valid payment request | 402 | $0.005 | 656 ms |
Example input (from the provider)
{
"body": {
"capacity": 10,
"items": [
{
"id": "a",
"size": 8
},
{
"id": "b",
"size": 7
},
{
"id": "c",
"size": 6
},
{
"id": "d",
"size": 5
},
{
"id": "e",
"size": 4
}
]
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Promised output schema (from the provider)
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"body": {
"additionalProperties": false,
"properties": {
"capacity": {
"description": "Capacity of every produced bin",
"maximum": 1000000000,
"minimum": 1,
"type": "integer"
},
"items": {
"description": "Unique-ID positive-size items; every size must be no greater than capacity",
"items": {
"additionalProperties": false,
"description": "One indivisible item to pack",
"properties": {
"id": {
"description": "Unique printable-ASCII item identifier",
"maxLength": 64,
"minLength": 1,
"pattern": "^[ -~]+$",
"type": "string"
},
"size": {
"description": "Positive size not exceeding the request capacity",
"maximum": 1000000000,
"minimum": 1,
"type": "integer"
}
},
"required": [
"id",
"size"
],
"type": "object"
},
"maxItems": 1000,
"minItems": 1,
"type": "array"
}
},
"required": [
"capacity",
"items"
],
"type": "object"
},
"bodyType": {
"enum": [
"json",
"form-data",
"text"
],
"type": "string"
},
"method": {
"enum": [
"POST"
],
"type": "string"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method",
"bodyType",
"body"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"additionalProperties": false,
"properties": {
"_atlas": {
"additionalProperties": false,
"description": "Atlas documentation and related-route metadata added after deployment",
"properties": {
"docs": {
"description": "Documentation URL for this bridge",
"format": "uri",
"maxLength": 512,
"type": "string"
},
"related": {
"description": "Bounded related Atlas routes",
"items": {
"additionalProperties": false,
"description": "One related Atlas route",
"properties": {
"bridge": {
"description": "Related bridge name",
"maxLength": 64,
"type": "string"
},
"docs": {
"description": "Related bridge documentation URL",
"format": "uri",
"maxLength": 512,
"type": "string"
},
"summary": {
"description": "Short capability summary",
"maxLength": 256,
"type": "string"
},
"url": {
"description": "Related route URL",
"format": "uri",
"maxLength": 512,
"type": "string"
}
},
"required": [
"bridge",
"url",
"docs",
"summary"
],
"type": "object"
},
"maxItems": 3,
"type": "array"
}
},
"required": [
"docs"
],
"type": "object"
},
"algorithm_version": {
"const": "best-fit-decreasing-v1",
"description": "Pinned deterministic best-fit-decreasing heuristic contract",
"type": "string"
},
"certificate": {
"additionalProperties": false,
"description": "Independently checkable feasibility, conservation, and volume-lower-bound evidence; not a general optimality certificate",
"properties": {
"algorithm": {
"const": "best-fit-decreasing-v1",
"description": "Heuristic algorithm used to produce the packing",
"type": "string"
},
"capacity": {
"description": "Per-bin capacity",
"maximum": 1000000000,
"minimum": 1,
"type": "integer"
},
"capacity_feasible": {
"const": true,
"description": "True when every produced bin load is at most capacity",
"type": "boolean"
},
"item_conservation": {
"const": true,
"description": "True when every input item appears exactly once in the solution",
"type": "boolean"
},
"item_count": {
"description": "Number of input items conserved by the packing",
"maximum": 1000,
"minimum": 1,
"type": "integer"
},
"total_size": {